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Today we will be discussing a basic vibration example to derive the equation of motion. Understanding Newton's second law is essential for this, where the summation of forces equals mass times acceleration. In this case, we can also work with mass and acceleration. The summation of moments equals the moment of inertia times X double dot (acceleration). X dot represents velocity, while double dot signifies acceleration. When approaching a problem, start by drawing a Freebody diagram to familiarize yourself with the components involved, such as a circle connected to a pen and a spring. Familiarizing yourself with these basics is crucial for solving vibration problems.
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